Add, Subtract, Multiply Polynomials

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•
Mathematics
•
7th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a polynomial?
Back
A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 2x^2 + 3x - 5 is a polynomial.
2.
FLASHCARD QUESTION
Front
What does it mean to add polynomials?
Back
Adding polynomials involves combining like terms from each polynomial. For example, (2x^2 + 3x) + (4x^2 + 5) = (2x^2 + 4x^2) + (3x) + (5) = 6x^2 + 3x + 5.
3.
FLASHCARD QUESTION
Front
What does it mean to subtract polynomials?
Back
Subtracting polynomials involves changing the signs of the terms in the polynomial being subtracted and then combining like terms. For example, (3x^2 + 2x) - (x^2 + 4) = (3x^2 - x^2) + (2x) - 4 = 2x^2 + 2x - 4.
4.
FLASHCARD QUESTION
Front
How do you multiply two binomials?
Back
To multiply two binomials, use the distributive property (FOIL method): First, Outer, Inner, Last. For example, (x + 2)(x + 3) = x^2 + 3x + 2x + 6 = x^2 + 5x + 6.
5.
FLASHCARD QUESTION
Front
What is the degree of a polynomial?
Back
The degree of a polynomial is the highest power of the variable in the polynomial. For example, in 4x^3 + 2x^2 - x, the degree is 3.
6.
FLASHCARD QUESTION
Front
What are like terms?
Back
Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms, while 3x^2 and 4x are not.
7.
FLASHCARD QUESTION
Front
What is the result of adding (2x^2 + 5x - 7) and (3 - 4x^2 + 6x)?
Back
The result is -2x^2 + 11x - 4.
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